Solution of a first boundary value problem of elasticity theory of forced vibrations of orthotropic plates with viscous resistance

Abstract

In this paper the forced vibrations of orthotropic plates under the influence of time-varying harmonic forces applied to the face surfaces, taking into account the internalviscous friction We consider. Solution of the problem is reduced to solving a singularly disturbed system of differential equations. The asymptotic solution of this system is obtained. It is shown that the asymptotic solution is mathematically precise, when the external effect depends on the tangential coordinate polynomially, illustrative example is given.

Authors and Affiliations

Tatevik Zakaryan

Keywords

Related Articles

General Mathematical Models of Micropolar Thin Elastic Plates

In the present paper there are first formulated assumptions (hypotheses) which have asymptotical confirmation and afterwards, based on the hypotheses, depending on the values of sizeless physical constants, there are con...

A Load Transfer from Circular Stringer to an Elastic infinite plate taking into account the creep

The solution of problem is reduced to Volter’s linear integral equation’s infinite system of second kind. Numerical results are obtained.

On a spatial position and deformation of manipulator elastic links

The questions of determining the spatial positions of the manipulator when the last link is modeled as an elastic body are studied. The general concepts of geometry of the deformation of any elements of the elastic link...

Download PDF file
  • EP ID EP601501
  • DOI -
  • Views 72
  • Downloads 0

How To Cite

Tatevik Zakaryan (2012). Solution of a first boundary value problem of elasticity theory of forced vibrations of orthotropic plates with viscous resistance. Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա, 65(2), -. https://europub.co.uk/articles/-A-601501